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Relative Uncertainty Aversion and Additively Representable Set Rankings

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  • BOSSERT, Walter
  • SLINKO, Arkadii

Abstract

This paper proposes a definition of relative uncertainty aversion for decision models under complete uncertainty. It is shown that, for a large class of decision rules characterized by a set of plausible axioms, the new criterion yields a complete ranking of those rules with respect to the relative degree of uncertainty aversion they represent. In addition, we address a combinatorial question that arises in this context, and we examine conditions for the additive representability of our rules.

Suggested Citation

  • BOSSERT, Walter & SLINKO, Arkadii, 2004. "Relative Uncertainty Aversion and Additively Representable Set Rankings," Cahiers de recherche 16-2004, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • Handle: RePEc:mtl:montec:16-2004
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    References listed on IDEAS

    as
    1. Barbera, S. & Barrett, C. R. & Pattanaik, Prasanta K., 1984. "On some axioms for ranking sets of alternatives," Journal of Economic Theory, Elsevier, vol. 33(2), pages 301-308, August.
    2. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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    Cited by:

    1. Alisher Akhmedjonov & Irina N. Il’ina & Carol S. Leonard & Zafar Nazarov & Evgenij E. Plisetskij & Elena S. Vakulenko, 2013. "Russia’s regions: governance and Well-being, 2000-2008," HSE Working papers WP BRP 42/EC/2013, National Research University Higher School of Economics.
    2. Walter Bossert & Conchita D’Ambrosio & Kohei Kamaga, 2021. "Extreme Values, Means, and Inequality Measurement," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(3), pages 564-590, September.
    3. Andreas Darmann & Christian Klamler, 2019. "Using the Borda rule for ranking sets of objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 399-414, October.
    4. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
    5. José Alcantud & Ritxar Arlegi, 2008. "Ranking sets additively in decisional contexts: an axiomatic characterization," Theory and Decision, Springer, vol. 64(2), pages 147-171, March.
    6. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    7. Murat Sertel & Arkadii Slinko, 2007. "Ranking committees, income streams or multisets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(2), pages 265-287, February.
    8. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    9. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS

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    More about this item

    Keywords

    choice under complete uncertainty; uncertainty aversion; additive representability;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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